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Word Problems: Travel and Distance

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Question 98246: Please help with this word problem.
If a ball is thrown vertically upward from a height of 5 ft, with an initial velocity of 80 ft/s, its height h after t s is given by h=-16t^2 + 80t + 5. How long does it take the ball to return to the ground?
thak you very much for your help.
Click here to see answer by jim_thompson5910(13785)

Question 98264This question is from textbook Elementary Algebra

: The Iditarod sled-dog race extends for 1049 mi from Anchorage to Nome. If a musher is twice as far from Anchorage as from Nome, how many miles has the musher traveled?
I guessed it would be 1049 x 2 but that seems to simple...This question is from textbook Elementary Algebra

Click here to see answer by Nate(3495)

Question 98325: The odometer on the family car read 15951 when the driver noticed that the number was palindromic. "Curious," said the driver to herself. "It will be a long time before that happens again." But an hour and 50 minutes later, the odometer showed a new palindromic number. How fast was she traveling?

Click here to see answer by ptaylor(1578)

Question 98334: Mr. Castro walked from his house to the park at 2 kph and return by trisikle at 8 kph his return journey takes 2 and a half hour less than his outward journey. Find the number of hours he spent on the road?
Click here to see answer by Nate(3495)

Question 98333: Johan, in his motorboat, took 3 hours to make a downstream trip with the current at 6 kph. The return trip took 5 hours. What is the speed of the boat in still water? What is the total distance travelled?
Click here to see answer by Nate(3495)

Question 98197: If the speed were increased by 10mph, a 420 mile trip wud take and hour less. how long will the trip take at the slower speed?
Click here to see answer by Nate(3495)

Question 98436: Mr. Reyes estimates he can do a job in 12 hours while Mr. Tan estimates he can do the same job in 15 hours. How long would it take them to finish the job if they work together?
Click here to see answer by edjones(3291)

Question 98431: A sink is filling at the rate of 1 liter in 5 seconds. It is draining at the rate of 1 liter in 11 seconds. How long for the time it is empty will it take the sink to fill, if its capacity is 8 liters?
Click here to see answer by ankor@dixie-net.com(6688)

Question 98434: A bus for school feild trip costs P624. Since the number of persons making the trip is 13 less the capacity of the bus, it costs P8 more per student than if the bus is filled. How many students are in the trip?
Click here to see answer by edjones(3291)

Question 98432: Tom had left home and had ridden his bike for 7 km before his chain broke. Tom had to walk home after this. During his trip back, Tom estimated that he biked 5 times faster than he walked. If the entire trip took him 5 hours and 24 minutes, what were his walking and riding speeds?
Click here to see answer by ptaylor(1578)

Question 98531: Two buses traveling in opposite directions. Bus one at 55mph, bus two at 45 mph. How long before they are 400 miles apart?
So can I do it like this?
t = time
B1 times t plus B2 times t = 400
55T + 45T = 400
100T= 400
t= 4
4 hours and they will be 400 miles apart.
Thank You,
Laur
Click here to see answer by stanbon(26251)

Question 98561: With a tail wind*, a helicopter traveled 300 mi in 1 hr 40 min. The return trip against the same wind took 20 min longer. Find the wind speed* and also the air speed* of the helicopter.

*air speed- the speed of an aircraft in still air
*wind speed- the speed of the wind
*tail wind- a wind blowing in the same direction as the path of the aircraft.
Click here to see answer by checkley71(8405)

Question 98614: I am having trouble with this word problem could I please get some help?
If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
Any help would be appreciated. Thank you.
Click here to see answer by stanbon(26251)

Question 98433:
Click here to see answer by ankor@dixie-net.com(6688)

Question 98635: Could you tell me if I have this problem correct?
Ariana took 2h longer to drive 260 mi on the first day of a trip than she took a drive 270 mi on the second day. If her speed was the same on both days, what was the driving time each day?
I got 6 and 8 is this correct? Thank you for your help.
Click here to see answer by scott8148(3382)

Question 98664This question is from textbook Beginning Algebra

: Hello Tutor I am having problems with this word problem if I could get some help.
A passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. If the speed of the passenger train is 25 mi/h faster than the speed of the freight train, find the speed of each.
Thank you for your help. This question is from textbook Beginning Algebra

Click here to see answer by 303795(562)

Question 98711: if traveling at 15mph how far can you get in 20 seconds?
Click here to see answer by checkley71(8405)

Question 98758: A bunch trotted m miles at z miles per hour and arrived 3 hours late. How fast should they have trotted to have arrived on time?
Click here to see answer by stanbon(26251)

Question 98799This question is from textbook Beginning Algebra

: Could I get some help with this word problem please?
A plane flies 720 mi against a steady 30-mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10 h, what is the plane's speed in still air?
I am confused so any help would be great. Thank you. This question is from textbook Beginning Algebra

Click here to see answer by ptaylor(1578)

Question 73154: One plane departed from NY and, at the same time, another plane departed from Mexico City. They flew towards each other at rates of 650 mph and 550 mph. If NY and Mexico City are 3,000 miles apart, in how many hours did the planes pass each other?
Click here to see answer by Adam(63)

Question 98923: Two planes are 2100 miles apart and traveling towards each other. One plane is traveling 80 mi/hr. faster than the other plane. The planes meet in 2.5 hr. Find the speed of the slower plane.
Click here to see answer by Adam(63)

Question 98972: A boat has a speed of 8 mph in still water. The boat can travel 20 miles against the current in the same amount of time in which it can travel 44 miles with the current. Find the rate of the current. Thanks!!
Click here to see answer by checkley71(8405)

Question 99024: Hello,
Please help me with this story problem. I got 20 mi...but want to check.
Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 15 mi, the distance between the cars was 5 mi more than the distance traveled by the car heading east. How far had the east bound car travled? Thanks..>Tammy
Click here to see answer by stanbon(26251)

Question 98881: At the instant the traffic light turns green, an automobile starts with a constant acceleration of a 2.5m/s^2. At the same instant a truck traveling with a constant speed of 7.1 m/s, overtakes the automobile
(A) how far beyond the traffic signal will the automobile overtake the truck?
(B) how fast will the car be travelling at that instant
Click here to see answer by ankor@dixie-net.com(6688)

Question 99078: on a trip, palmer s. friedrich drove at a rate of 55 mph. he desided to return by a route that was 5 miles longer. his rate returning was 45 mph. if it took him 1 hour longer returning, how long was the second route?

Click here to see answer by edjones(3291)

Question 99039: Please help!! Every hour, on the hour,a train leaves Tallahassee for Jacksonville, whle another train leaves Jacksonville for Tallahassee. the trip between the two cities takes exactly two hours. How many trains going in the opposite direction will a Tallahassee train to Jacksonville meet? I have it will meet 2 trains. Is this correct? Thanks.
Click here to see answer by scott8148(3382)

Question 99069: Train a and B are 2823 miles apart. they travel between two stations at an average speed of 172 miles per hour. A train leaves 2.25 hours after a train leaves station B. How long after the train leaves Station A will the trains reach the same point?
Click here to see answer by ptaylor(1578)

Question 99106: Martina leaves home at 9 A.M., bicycling at a rate of 24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time will John catch up with Martina?
At what time will John catch up with Martina?

Click here to see answer by checkley71(8405)

Question 99122: I am having trouble with this problem Please Help:
Two planes leave Philadelphia at the same time. One heads due south toward Atlanta; the other heads due north toward Boston. The Atlant bound plane flies 50 mph faster than the other. In 1/2 hour the pplanes are 275 miles apart. What are their speeds?
Click here to see answer by checkley71(8405)

Question 99181: A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
Click here to see answer by checkley71(8405)

Question 99185: A car leaves a city and goes north at a rate of 50 mi/h at 2 P.M. One hour later a second car leaves, traveling south at a rate of 40 mi/h. At what time will the two cars be 320 mi apart?
Click here to see answer by checkley71(8405)

Question 99193: There are 850 Douglas fir and ponderosa pine trees in a
section of forest bought by Sawz Logging Co. The company paid an average of
$300 for each Douglas fir and $225 for each ponderosa pine. If the company paid
$217,500 for the trees, how many of each kind did the company buy?
Click here to see answer by checkley71(8405)

Question 99188: Martina leaves home at 9 A.M., bicycling at a rate of 24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time will John catch up with Martina?
Click here to see answer by ankor@dixie-net.com(6688)

Question 99363: A plane takes 6 hours to fly from San Francisco to New York, and 5 hours to return back. The wind velocity is 50 miles per hour, from New York to San Francisco. What is the speed of the airplane.
Click here to see answer by aaaaaaaa(138)

Question 99362: At the same moment, two trains leave Chicago and New York. They move towards each other with costant speeds. The train from Chicago is moving at speed of 40 miles per hour, and the train from New York is moving at speed of 60 miles per hour. The distance between Chicago and New York is 1000 miles. How long after their departure will they meet?
Click here to see answer by aaaaaaaa(138)

Question 99321: A bus travels from Town A to town B at constant speed. It passes a car travelling at constant speed of 90km/h from the opposite direction. 1 1/2 hours later the bus reaches town B but the car is only 25km away from town A. If the bus took 4 hours to complete the whole journey,What is the distance between the 2 towns?
Click here to see answer by ankor@dixie-net.com(6688)

Question 99396: Marla begins waling at 3 mi/h toward the library. Her friend meets her at the halfway point and drives her the rest of the way. The distance to the library is 4 mi. How many hours did marla walk?
Click here to see answer by edjones(3291)

Question 99395: At 10:00am, a car leaves a house at a rate of 60mi/h. At the same time, another car leaves the same house at a rate of 50 mi/h in the opposite direction. At what time will the cars be 330 miles apart?
Click here to see answer by edjones(3291)

Question 99387: Could someone please help me. So far I am doing well on my assignment with what I have learned from all of your help, it is these word problems that are tripping me up.
Lee can ride his bicycle 50 mi in the same time it takes him to drive 125 mi. If his driving rate is 30 mi/h faster than his rate bicycling, find each rate

Click here to see answer by ankor@dixie-net.com(6688)

Question 99457: Could you tell me if I have this correct.
During rush hour, Bill can drive 15 miles using the side roads in the same time that it takes to travel 10 miles on the freeway. If Bill's rate on the side roads in 8 mi/h faster than his rate on the freeway, find his rate on the side roads.
Is the answer 24? Thank you.
Click here to see answer by ptaylor(1578)

Question 99435This question is from textbook algebra structure and method
: you travel for (t-2) hours at 75km/h how many km do you travel? This question is from textbook algebra structure and method

Click here to see answer by ptaylor(1578)

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